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27343740 = 223537109113
BaseRepresentation
bin110100001001…
…1101101111100
31220110012120010
41220103231330
523444444430
62414023220
7451263234
oct150235574
956405503
1027343740
1114486836
1291a7b10
135884c38
1438bacc4
152601cb0
hex1a13b7c

27343740 has 96 divisors (see below), whose sum is σ = 80055360. Its totient is φ = 6967296.

The previous prime is 27343709. The next prime is 27343753. The reversal of 27343740 is 4734372.

It is a super-3 number, since 3×273437403 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27343698 and 27343707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241924 + ... + 242036.

It is an arithmetic number, because the mean of its divisors is an integer number (833910).

Almost surely, 227343740 is an apocalyptic number.

27343740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27343740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40027680).

27343740 is an abundant number, since it is smaller than the sum of its proper divisors (52711620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27343740 is a wasteful number, since it uses less digits than its factorization.

27343740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 27343740 is about 5229.1242096550. The cubic root of 27343740 is about 301.2677462959.

The spelling of 27343740 in words is "twenty-seven million, three hundred forty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 109 111 113 148 185 218 222 226 327 339 370 436 444 452 545 555 565 654 678 740 1090 1110 1130 1308 1356 1635 1695 2180 2220 2260 3270 3390 4033 4181 6540 6780 8066 8362 12099 12317 12543 16132 16724 20165 20905 24198 24634 25086 36951 40330 41810 48396 49268 50172 60495 61585 62715 73902 80660 83620 120990 123170 125430 147804 184755 241980 246340 250860 369510 455729 739020 911458 1367187 1822916 2278645 2734374 4557290 5468748 6835935 9114580 13671870 27343740